Elastic plastic analysis of a semi-infinte plate under various loadings by a combination of the finite element method and the body force method.

Abstract

A method of elastic-plastic stress analysis based on a combination (FEM + BFM) of the finite element method (FEM) and body force method (BFM) is developed to solve semi-infinte plate problems. FEM + BFM has the advantages of both methods and has many possible applications. The line elements of BFM are located along the interface between the outer elastic domain and the inner elastic-plastic domains which are composed with FEM elements. Green's function for a semi-infinite plate is used for the application of the body force method. The elastic-plastic problems of a semi-infinite plate containing a semi-elliptical nothch and a semi-infinite plate under various surface loadings such as elliptical contact loading, elliptical surface traction and forced constant and linear displacements by a rigid punch are solved. Other applications are also suggested.